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Finding the Fourth Proportional to 6,815.65, 9,396.91 and 4,573.97

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Solution

The fourth proportional to 6,815.65, 9,396.91 and 4,573.97 is: 6,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.65 : 9,396.91 = 4,573.97 : x
  2. Step 2: Convert to fraction form
    6,815.65/9,396.91 = 4,573.97/x
  3. Step 3: Cross multiply
    6,815.65x = 9,396.91 × 4,573.97
  4. Step 4: Simplify right side
    6,815.65x = 42,981,184.43
  5. Step 5: Solve for x
    x = 42,981,184.43/6,815.65
  6. Step 6: Final answer
    x = 6,306.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.